Abstract | ||
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We show that there exist functions c and g such that, if k, n and d are positive integers with d>g(n) and Γ is a d-valent 2-arc-transitive graph of order kpn with p a prime, then p⩽kc(d). In other words, there are only finitely many d-valent 2-arc-transitive graphs of order kpn with d>g(n) and p prime. This generalises a recent result of Conder, Li and Potočnik. |
Year | DOI | Venue |
---|---|---|
2016 | 10.1016/j.jctb.2015.11.001 | Journal of Combinatorial Theory, Series B |
Keywords | Field | DocType |
2-arc-transitive graphs,Graph-restrictive | Prime (order theory),Integer,Discrete mathematics,Graph,Combinatorics,Arc (geometry),Mathematics,Transitive relation | Journal |
Volume | Issue | ISSN |
117 | C | 0095-8956 |
Citations | PageRank | References |
1 | 0.37 | 4 |
Authors | ||
3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Luke Morgan | 1 | 2 | 2.13 |
Eric Swartz | 2 | 4 | 5.23 |
Gabriel Verret | 3 | 56 | 9.25 |